4655724902400 has 1152 divisors, whose sum is σ = 18235232870400. Its totient is φ = 1033017753600.

The previous prime is 4655724902363. The next prime is 4655724902417. The reversal of 4655724902400 is 42094275564.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 4655724902400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2789528766 + ... + 2789530434.

It is an arithmetic number, because the mean of its divisors is an integer number (15829195200).

Almost surely, 2^{4655724902400} is an apocalyptic number.

4655724902400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4655724902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117616435200).

4655724902400 is an abundant number, since it is smaller than the sum of its proper divisors (13579507968000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4655724902400 is a wasteful number, since it uses less digits than its factorization.

4655724902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 4655724902400 in words is "four trillion, six hundred fifty-five billion, seven hundred twenty-four million, nine hundred two thousand, four hundred".